TSTP Solution File: SWV074+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV074+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 10:27:56 EDT 2024

% Result   : Theorem 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :  189 (   0 equ)
%            Maximal formula atoms :    8 (   9 avg)
%            Number of connectives :   55 (  17   ~;  12   |;  20   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  132 ( 132 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;  11 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    1 (   0   !;   0   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f224,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f220,f221,f222,f223]) ).

tff(f223,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f118,f204]) ).

tff(f204,plain,
    ( spl1_1
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f118,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f95]) ).

tff(f95,plain,
    ( ( ~ leq(pv36,minus(n135300,n1))
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv36)
      | ~ leq(n0,pv31) )
    & leq(pv36,minus(n135300,n1))
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv36)
    & leq(n0,pv31) ),
    inference(flattening,[],[f94]) ).

tff(f94,plain,
    ( ( ~ leq(pv36,minus(n135300,n1))
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv36)
      | ~ leq(n0,pv31) )
    & leq(pv36,minus(n135300,n1))
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv36)
    & leq(n0,pv31) ),
    inference(ennf_transformation,[],[f54]) ).

tff(f54,negated_conjecture,
    ~ ( ( leq(pv36,minus(n135300,n1))
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv36)
        & leq(n0,pv31) )
     => ( leq(pv36,minus(n135300,n1))
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv36)
        & leq(n0,pv31) ) ),
    inference(negated_conjecture,[],[f53]) ).

tff(f53,conjecture,
    ( ( leq(pv36,minus(n135300,n1))
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv36)
      & leq(n0,pv31) )
   => ( leq(pv36,minus(n135300,n1))
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv36)
      & leq(n0,pv31) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.G8mIEvIl3G/Vampire---4.8_14364',cl5_nebula_array_0015) ).

tff(f222,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f119,f208]) ).

tff(f208,plain,
    ( spl1_2
  <=> leq(n0,pv36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f119,plain,
    leq(n0,pv36),
    inference(cnf_transformation,[],[f95]) ).

tff(f221,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f120,f212]) ).

tff(f212,plain,
    ( spl1_3
  <=> leq(pv31,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f120,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f95]) ).

tff(f220,plain,
    spl1_4,
    inference(avatar_split_clause,[],[f121,f216]) ).

tff(f216,plain,
    ( spl1_4
  <=> leq(pv36,minus(n135300,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f121,plain,
    leq(pv36,minus(n135300,n1)),
    inference(cnf_transformation,[],[f95]) ).

tff(f219,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f122,f216,f212,f208,f204]) ).

tff(f122,plain,
    ( ~ leq(pv36,minus(n135300,n1))
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv36)
    | ~ leq(n0,pv31) ),
    inference(cnf_transformation,[],[f95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV074+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 21:14:38 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.G8mIEvIl3G/Vampire---4.8_14364
% 0.63/0.80  % (14479)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.80  % (14475)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.80  % (14477)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80  % (14478)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.80  % (14480)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.80  % (14476)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.63/0.80  % (14481)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.63/0.80  % (14482)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.80  % (14478)Also succeeded, but the first one will report.
% 0.63/0.80  % (14475)First to succeed.
% 0.63/0.80  % (14480)Also succeeded, but the first one will report.
% 0.63/0.80  % (14482)Also succeeded, but the first one will report.
% 0.63/0.80  % (14477)Also succeeded, but the first one will report.
% 0.63/0.80  % (14481)Also succeeded, but the first one will report.
% 0.63/0.80  % (14475)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14472"
% 0.63/0.80  % (14475)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Theorem for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (14475)------------------------------
% 0.63/0.80  % (14475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (14475)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (14475)Memory used [KB]: 1085
% 0.63/0.80  % (14475)Time elapsed: 0.005 s
% 0.63/0.80  % (14475)Instructions burned: 5 (million)
% 0.63/0.80  % (14472)Success in time 0.483 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------